I am having dificulties with subgroups and how to develop generators.
I have a question
Find the numbers of generatos os a cyclic groups of orders Z6, Z8, Z12 and Z60
Cyclic groups of finite order are always isomorphic to the integers mod n
under addition.
Here is a link to the wiki on cyclic groups
Cyclic group - Wikipedia, the free encyclopedia
Note that cyclic groups always have $\displaystyle \varphi(n)$ generators where $\displaystyle \varphi$ is the Euler Phi function
Euler's totient function - Wikipedia, the free encyclopedia